Answer:
33% chance
Step-by-step explanation:
there are 12 students total and there are two groups of students, boys and girls, 8 girls 4 boys so we take that and convert it to a fraction which would make 2/3 girls and 1/3 boys, so that would mean that boys have a 33% chance of being selected
Option D. However, despite its many utilitarian benefits, colleges have not always supported the study of philosophy.
Which choice most effectively sets up the information that follows?
- Despite philosophy teaching useful tools for academic and professional achievement, only 18 percent of the American colleges incorporated the course within curriculum, thus indicating their lack of support.
- Hence, Option D is correct. The other options do not express this condition.
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Answer:
Step-by-step explanation:
x^3 - 8x² - x + 8 =0
x^3 - 8x² - (x - 8 )=0
x²(x-8) - (x-8) = 0
(x-8)(x² -1) =0
x-8 = 0 or x² - 1 = 0
x-8=0 or (x-1)(x+1)=0
x=8 x=1 or x=-1
Answer:
is at a distance of 722 feet
Step-by-step explanation:
we have the angle that forms between the water and the imaginary line between the ship and the tip of the statue
we have the statue height that would be the opposite leg to our angle and we want to know the distance of the ship to the statue that would be the adjacent leg
we see that it has (angle, adjacent, opposite)
well to start we have to know the relationship between angles, legas and the hypotenuse
a: adjacent
o: opposite
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
it's the tangent
tan α = o/a
we replace the values and solve
tan α = o/a
tan 22.9 = 305/a
a = 305/tan22.9
a = 305/0.4224
a = 722
is at a distance of 722 feet
Since the argument of the sine function is x without any scaling factor, the period is 2π, the 1st selection.
